45200768 has 32 divisors (see below), whose sum is σ = 90592320. Its totient is φ = 22464000.

The previous prime is 45200747. The next prime is 45200777. The reversal of 45200768 is 86700254.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22193 + ... + 24143.

It is an arithmetic number, because the mean of its divisors is an integer number (2831010).

Almost surely, 2^45200768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45296160).

45200768 is an abundant number, since it is smaller than the sum of its proper divisors (45391552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45200768 is a wasteful number, since it uses less digits than its factorization.

45200768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 45200768 is about 6723.1516419013. The cubic root of 45200768 is about 356.2175163569.

The spelling of 45200768 in words is "forty-five million, two hundred thousand, seven hundred sixty-eight".